• Ramsey theory, named after the British mathematician and philosopher Frank P. Ramsey, is a branch of the mathematical field of combinatorics that focuses...
    9 KB (1,144 words) - 21:57, 21 May 2025
  • was proved by Frank Ramsey. This initiated the combinatorial theory now called Ramsey theory, that seeks regularity amid disorder: general conditions for...
    67 KB (8,534 words) - 13:26, 14 May 2025
  • Frank Plumpton Ramsey (/ˈræmzi/; 22 February 1903 – 19 January 1930) was a British philosopher, mathematician, and economist who made major contributions...
    39 KB (4,296 words) - 18:05, 28 February 2025
  • structural Ramsey theory is a categorical generalisation of Ramsey theory, rooted in the idea that many important results of Ramsey theory have "similar"...
    15 KB (2,383 words) - 20:26, 13 December 2024
  • Ergodic Ramsey theory is a branch of mathematics where problems motivated by additive combinatorics are proven using ergodic theory. Ergodic Ramsey theory arose...
    2 KB (250 words) - 00:35, 5 November 2024
  • JonBenét Patricia Ramsey (August 6, 1990 – December 25, 1996) was an American child beauty pageant winner who was killed at age six in her family's home...
    97 KB (9,844 words) - 20:30, 29 May 2025
  • Rado's theorem is a theorem from the branch of mathematics known as Ramsey theory. It is named for the German mathematician Richard Rado. It was proved...
    4 KB (606 words) - 03:13, 12 March 2024
  • discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential...
    195 KB (20,026 words) - 13:12, 7 May 2025
  • Thumbnail for Ronald Graham
    California, San Diego. He did important work in scheduling theory, computational geometry, Ramsey theory, and quasi-randomness, and many topics in mathematics...
    53 KB (4,559 words) - 08:41, 24 May 2025
  • Thumbnail for Julian Sahasrabudhe
    extremal and probabilistic combinatorics, Ramsey theory, random polynomials and matrices, and combinatorial number theory. Sahasrabudhe grew up on Bowen Island...
    13 KB (1,319 words) - 00:58, 26 March 2025
  • mathematics, a Ramsey cardinal is a certain kind of large cardinal number introduced by Erdős & Hajnal (1962) and named after Frank P. Ramsey, whose theorem...
    5 KB (550 words) - 23:28, 1 April 2025
  • the things studied include continuous graphs and trees, extensions of Ramsey's theorem, and Martin's axiom. Recent developments concern combinatorics...
    10 KB (1,388 words) - 18:09, 28 January 2025
  • Graham's number (category Ramsey theory)
    upper bound on the answer of a problem in the mathematical field of Ramsey theory. It is much larger than many other large numbers such as Skewes's number...
    19 KB (2,541 words) - 22:44, 29 May 2025
  • Ramsey theory, namely the strengthened finite Ramsey theorem, which is expressible in Peano arithmetic, is not provable in this system. That Ramsey-theoretic...
    5 KB (650 words) - 08:41, 10 April 2025
  • Thumbnail for Extremal graph theory
    graph theory. Extremal graph theory is closely related to fields such as Ramsey theory, spectral graph theory, computational complexity theory, and additive...
    10 KB (1,360 words) - 09:43, 1 August 2022
  • Thumbnail for Andrew M. Gleason
    quantum logic and the Greenwood–Gleason graph, an important example in Ramsey theory, are named for him. As a young World War II naval officer, Gleason broke...
    51 KB (5,389 words) - 20:50, 30 March 2025
  • theory — Perturbation theory — Potential theory — Probability theoryRamsey theory — Rational choice theory — Representation theory — Ring theory —...
    38 KB (4,341 words) - 16:56, 25 May 2025
  • Thumbnail for Clique (graph theory)
    subgraphs goes back at least to the graph-theoretic reformulation of Ramsey theory by Erdős & Szekeres (1935), the term clique comes from Luce & Perry...
    20 KB (2,501 words) - 18:00, 21 February 2025
  • In mathematics, zero-sum Ramsey theory or zero-sum theory is a branch of combinatorics. It deals with problems of the following kind: given a combinatorial...
    3 KB (392 words) - 01:27, 3 September 2023
  • (graph theory) Robbins' theorem (graph theory) Robertson–Seymour theorem (graph theory) Schnyder's theorem (graph theory) Schur's theorem (Ramsey theory) Schwenk's...
    78 KB (6,293 words) - 12:16, 2 May 2025
  • Obstruction theory Operator theory Order theory Percolation theory Perturbation theory Probability theory Proof theory Queue theory Ramsey theory Random matrix...
    2 KB (196 words) - 18:28, 23 December 2024
  • Thumbnail for David Conlon
    Hungarian-style combinatorics, particularly Ramsey theory, extremal graph theory, combinatorial number theory, and probabilistic methods in combinatorics...
    5 KB (391 words) - 11:55, 17 May 2025
  • Ramsey-Turán theory is a subfield of extremal graph theory. It studies common generalizations of Ramsey's theorem and Turán's theorem. In brief, Ramsey-Turán...
    7 KB (1,133 words) - 05:04, 12 April 2025
  • Thumbnail for Triangle-free graph
    Sonny; Krivelevich, Michael (2010), "A note on regular Ramsey graphs", Journal of Graph Theory, 64 (3): 244–249, arXiv:0812.2386, doi:10.1002/jgt.20453...
    21 KB (2,524 words) - 06:45, 12 May 2025
  • Thumbnail for Paul Erdős
    previously unsolved problems in the field. He championed and contributed to Ramsey theory, which studies the conditions in which order necessarily appears. Overall...
    50 KB (5,402 words) - 17:53, 27 May 2025
  • Thumbnail for Randomness
    chosen, then we can say the selection process is random. According to Ramsey theory, pure randomness (in the sense of there being no discernible pattern)...
    34 KB (4,316 words) - 10:18, 11 February 2025
  • Thumbnail for Tournament (graph theory)
    exactly one Hamiltonian path. Transitive tournaments play a role in Ramsey theory analogous to that of cliques in undirected graphs. In particular, every...
    19 KB (2,662 words) - 03:13, 20 January 2025
  • Thumbnail for Wojciech Samotij
    is known for his work in combinatorics, additive number theory, Ramsey theory and graph theory. He studied at the University of Wrocław where in 2007 he...
    7 KB (553 words) - 13:02, 23 November 2024
  • Thumbnail for Dave Ramsey
    Lawrence Ramsey III (born September 3, 1960) is an American radio personality who offers financial advice. He is the founder and CEO of Ramsey Solutions...
    21 KB (1,889 words) - 16:44, 22 May 2025
  • Thumbnail for Graph coloring
    puzzles. An important class of improper coloring problems is studied in Ramsey theory, where the graph's edges are assigned to colors, and there is no restriction...
    70 KB (8,459 words) - 05:58, 16 May 2025